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Finding the Fourth Proportional to 1,919.91, 2,649.38 and 1,134.45

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Solution

The fourth proportional to 1,919.91, 2,649.38 and 1,134.45 is: 1,565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.91 : 2,649.38 = 1,134.45 : x
  2. Step 2: Convert to fraction form
    1,919.91/2,649.38 = 1,134.45/x
  3. Step 3: Cross multiply
    1,919.91x = 2,649.38 × 1,134.45
  4. Step 4: Simplify right side
    1,919.91x = 3,005,583.47
  5. Step 5: Solve for x
    x = 3,005,583.47/1,919.91
  6. Step 6: Final answer
    x = 1,565.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.